Stochastic path integral formulation of full counting statistics -: art. no. 206801

被引：153

作者：

Pilgram, S ^{[1
]}

Jordan, AN ^{[1
]}

Sukhorukov, EV ^{[1
]}

Büttiker, M ^{[1
]}

机构：

[1] Univ Geneva, Dept Phys Theor, CH-1211 Geneva 4, Switzerland

来源：

PHYSICAL REVIEW LETTERS | 2003年 / 90卷 / 20期

关键词：

D O I：

10.1103/PhysRevLett.90.206801

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a stochastic path integral representation of counting statistics in semiclassical systems. The formalism is introduced on the simple case of a single chaotic cavity with two quantum point contacts, and then further generalized to find the propagator for charge distributions with an arbitrary number of counting fields and generalized charges. The counting statistics is given by the saddle-point approximation to the path integral, and fluctuations around the saddle point are suppressed in the semiclassical approximation. We use this approach to derive the current cumulants of a chaotic cavity in the hot-electron regime.

引用

页数：4

共 26 条

[11] 1/3-shot-noise suppression in diffusive nanowires [J].

Henny, M ;

Oberholzer, S ;

Strunk, C ;

Schönenberger, C .

PHYSICAL REVIEW B, 1999, 59 (04) :2871-2880

[12] Shot-noise measurements in normal-metal-superconductor junctions and the semiclassical theory [J].

Jehl, X ;

Sanquer, M .

PHYSICAL REVIEW B, 2001, 63 (05)

[13] SHOT-NOISE IN MESOSCOPIC DIFFUSIVE CONDUCTORS IN THE LIMIT OF STRONG ELECTRON-ELECTRON SCATTERING [J].

KOZUB, VI ;

RUDIN, AM .

PHYSICAL REVIEW B, 1995, 52 (11) :7853-7856

[14]

Levitov L S, 1993, PISMA ESKP TEOR FIZ, V58, P225

[15] QUANTUM SHOT-NOISE IN A NORMAL-METAL SUPERCONDUCTOR POINT-CONTACT [J].

MUZYKANTSKII, BA ;

KHMELNITSKII, DE .

PHYSICAL REVIEW B, 1994, 50 (06) :3982-3987

[16] Cascade approach to current fluctuations in a chaotic cavity [J].

Nagaev, KE ;

Samuelsson, P ;

Pilgram, S .

PHYSICAL REVIEW B, 2002, 66 (19) :1-7

[17]

Nagaev KE, 2002, PHYS REV B, V66, DOI 10.1103/PhysRevB.66.075334

[18] INFLUENCE OF ELECTRON-ELECTRON SCATTERING ON SHOT-NOISE IN DIFFUSIVE CONTACTS [J].

NAGAEV, KE .

PHYSICAL REVIEW B, 1995, 52 (07) :4740-4743

[19] Circuit theory for full counting statistics in multiterminal circuits [J].

Nazarov, YV ;

Bagrets, DA .

PHYSICAL REVIEW LETTERS, 2002, 88 (19) :4-196801

[20]

NAZAROV YV, 1999, ANN PHYS LEIPZIG, V8, P34903

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